{"id":59978,"date":"2016-12-30T11:12:57","date_gmt":"2016-12-30T09:12:57","guid":{"rendered":"https:\/\/wpcalc.com\/?p=59978"},"modified":"2026-09-30T18:40:39","modified_gmt":"2026-09-30T15:40:39","slug":"cubic-yards-of-triangular-stepping-stones","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-triangular-stepping-stones\/","title":{"rendered":"Triangular Stepping Stone Volume Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Calculate Volume of Triangular Stepping Stones<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"59978\" data-favorite-title=\"Cubic Yards of Triangular Stepping Stones\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-triangular-stepping-stones\/\" data-favorite-excerpt=\"Calculate the concrete volume of triangular stepping stones in cubic yards. Enter the base, height and depth of each stone plus how many you need, and get the volume of a single stone and the whole batch.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-civil\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-triangular-stepping-stones\/\" method=\"POST\" class=\"calculator\" id=\"calculator-59978\" data-post=\"59978\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Base length<\/label><div class=\"term\">l<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"base_length\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" step=\"0.01\" value=\"12\"\/><div class=\"unit\" id=\"calc-unit-1\">in<\/div><small id=\"calc-info-1\">Base of triangle in inches<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Height<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"height\" id=\"field-2\" aria-describedby=\"calc-unit-2 calc-info-2\" step=\"0.01\" value=\"10\"\/><div class=\"unit\" id=\"calc-unit-2\">in<\/div><small id=\"calc-info-2\">Height of triangle in inches<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Depth<\/label><div class=\"term\">h<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"depth\" id=\"field-3\" aria-describedby=\"calc-unit-3 calc-info-3\" step=\"0.01\" value=\"2\"\/><div class=\"unit\" id=\"calc-unit-3\">in<\/div><small id=\"calc-info-3\">Depth of triangle in inches<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Number of stepping stones<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"number_of_stepping_stones\" id=\"field-4\" step=\"1\" value=\"10\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"59978\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Single stepping stone<\/span><span class=\"result-term\">V\u2081<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"yd\u00b3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>All stepping stones<\/span><span class=\"result-term\">V\u2099<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"yd\u00b3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"59978\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Triangular Stepping Stone Volume Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ V_1 = \\frac{l \\cdot b \\cdot h}{648} \\\\ V_n = V_1 \\cdot n \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(V_1\\) \u2014 volume of a single stepping stone (yd\u00b3)<\/li>\n<li>\\(l\\) \u2014 base length of the triangle (inches)<\/li>\n<li>\\(b\\) \u2014 height of the triangle (inches)<\/li>\n<li>\\(h\\) \u2014 depth (thickness) of the stone (inches)<\/li>\n<li>\\(n\\) \u2014 number of stepping stones<\/li>\n<li>\\(648\\) \u2014 conversion constant that combines the triangular cross-section factor with the conversion of the inch dimensions into cubic yards<\/li>\n<\/ul>\n<p>The first expression gives the concrete volume of one triangular stone; multiplying by \\(n\\) gives the total volume needed for the entire set of stones.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Triangular Stepping Stone \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> you plan to cast 10 triangular stepping stones, each with a base of 12 inches, a triangle height of 10 inches, and a thickness of 2 inches.<\/p>\n<p>\\[ V_1 = \\frac{12 \\cdot 10 \\cdot 2}{648} = \\frac{240}{648} \\approx 0.37037 \\ \\text{yd}^3 \\]<\/p>\n<p>\\[ V_{10} = 0.37037 \\times 10 \\approx 3.7037 \\ \\text{yd}^3 \\]<\/p>\n<p><strong>Result:<\/strong> one stepping stone requires about 0.37037 yd\u00b3 of concrete, and all 10 stones together require about 3.7037 yd\u00b3.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Base length<\/strong> in inches \u2014 the straight side of the triangle you treat as the base.<\/li>\n<li>Enter the <strong>Height<\/strong> in inches \u2014 the perpendicular distance from that base to the opposite corner of the triangle.<\/li>\n<li>Enter the <strong>Depth<\/strong> in inches \u2014 the finished thickness of the stone.<\/li>\n<li>Enter the <strong>Number of stepping stones<\/strong> you intend to cast.<\/li>\n<li>Read the two results: <strong>Single stepping stone<\/strong> shows the volume of one stone in cubic yards, and <strong>All stepping stones<\/strong> shows the total volume for the whole batch.<\/li>\n<\/ol>\n<h2>About Triangular Stepping Stones and Their Volume<\/h2>\n<p>Triangular stepping stones are pavers cast as triangular prisms: a flat triangular face with a constant thickness. They are a favorite in modern landscape design because triangles tessellate \u2014 rotated and laid point to point, they form zigzag paths, hexagons, and star patterns that rectangular pavers simply cannot produce. A single triangular mold is also one of the easiest custom shapes to build from lumber or foam.<\/p>\n<p>Because each stone is a three-dimensional object, the amount of concrete you need depends on <em>volume<\/em>, not surface area. Volume is what concrete suppliers sell: ready-mix is delivered by the cubic yard, and bagged mix is rated by the volume it yields after mixing. Estimating in cubic yards from the start means you can compare a bagged pour against a small ready-mix delivery without converting units later.<\/p>\n<p>The two results answer different questions. The single-stone volume tells you how much concrete one mold consumes, which is useful when you cast in small batches or want to check a stone's weight for handling. The total volume tells you how much material to buy for the whole path. As a rule of thumb, an 80 lb bag of premixed concrete yields roughly 0.6 ft\u00b3 (about 0.022 yd\u00b3), so for larger totals a ready-mix order is usually far more practical than dozens of bags.<\/p>\n<p>If your design mixes shapes, run each shape separately and add the totals: see the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-rectangular-stepping-stones\/\">cubic yards of rectangular stepping stones<\/a> and <a href=\"https:\/\/wpcalc.com\/en\/engineering\/cubic-yards-of-circular-stepping-stones\/\">cubic yards of circular stepping stones<\/a> calculators, and use the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/number-of-paving-stones\/\">paving stone quantity calculator<\/a> to plan how many stones your path actually needs.<\/p>\n<h2>Assumptions, Limitations and Practical Tips<\/h2>\n<ul>\n<li><strong>Uniform thickness.<\/strong> The formula assumes a true prism. Decorative relief, tapered edges, or a rounded walking surface all add concrete that this estimate does not capture.<\/li>\n<li><strong>Base and height must be perpendicular.<\/strong> Measure the height straight from the base to the opposite corner \u2014 not along a slanted side. Using a slanted side as the \"height\" overestimates the volume.<\/li>\n<li><strong>Add a waste margin.<\/strong> Spillage, overfilling the mold, and thickness variations typically add 5\u201310% to real-world consumption, especially for small hand-mixed batches.<\/li>\n<li><strong>Check supplier minimums.<\/strong> Ready-mix companies usually have a minimum delivery (often around 1 yd\u00b3) plus short-load fees, so a small total may be cheaper to cast from bagged mix. For a broader pour that includes a patio base under the stones, the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/concrete-yardage\/\">concrete yardage calculator<\/a> can size the whole job.<\/li>\n<li><strong>Reinforcement adds nothing to volume.<\/strong> Wire mesh or fibers displace a negligible amount of concrete, but they do affect the mix you choose when ordering.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the concrete volume of triangular stepping stones in cubic yards. Enter the base, height and depth of each stone plus how many you need, and get the volume of a single stone and the whole batch.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[19],"class_list":["post-59978","post","type-post","status-publish","format-standard","hentry","category-engineering","tag-civil"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=59978"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59978\/revisions"}],"predecessor-version":[{"id":66024,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59978\/revisions\/66024"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=59978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=59978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=59978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}